Question 1047051
this reference shows you the general procedure.

<a href = "https://www.mathsisfun.com/converting-percents-fractions.html" target = "_blank">https://www.mathsisfun.com/converting-percents-fractions.html</a>


your problem is to convert 5 and 1/3 percent to its simplest form.


to convert the percent to decimal form, divide it by 100, but keep the decimal equivalent in fraction form.


you will get 5 and 1/3 percent equals (5 + 1/3) / 100 which is equal to 5/100 + (1/3) / 100 which is equal to 5/100 + 1/300.


place both fractions under a common denominator.


you will get 5/100 + 1/300 = 15/300 + 1/300 = 16/300.


simplify the fraction to get 16/300 = 8/150 = 4/75.


i don't think it can be made simpler than that.


to see is you did it right, convert that fraction into a percent.


use your calculator to divide 4 by 75 and you will get .05333333333........


multiply that by 100 to get 5.3333333333.......%


.3333333333.......... is equal to 1/3.


your percent is therefore 5 and 1/3 %


repeating decimals can be converted to fractions by the following procedure.
<a href = "http://www.basic-mathematics.com/converting-repeating-decimals-to-fractions.html" target = "_blank">http://www.basic-mathematics.com/converting-repeating-decimals-to-fractions.html</a>


you could also have converted the fraction to percent in improper fraction form by simply multiplying it by 100.


you would have gotten 4/75 = 400/75 percent.


that percent in improper fraction form can be turned into a percent in mixed fraction form by dividing 400 by 75 to get 5 with a remainder of 25.


your percent in mixed fraction form would be 5 and 25/75 percent.


the proper fractional part of 25/75 can be reduced to 1/3.


your percent in mixed fraction form is 5 and 1/3 %.